QuestionThe angle of elevation of the sun when the length of the shadow of a pole is equal to the height of the pole is?Typemultiple_choiceOption45°correctOption30°incorrectOption60°incorrectOption90°incorrectSolution Let ∠BAC = θ Let height of pole is h and length of the shadow is L. ...

QuestionThe tops of two poles are connected by a wire. The heights of the poles are 10 m and 14 m respectively. If the wire makes a 30° angle with the horizontal, find the length of the wire?Typemultiple_choiceOption7 mincorrectOption7.5mincorrectOption8mcorrectOption8.5mincorrectSolution : ...

QuestionThe angle of elevation of the top of a tower at a point X is 30°. On walking 30 m towards the tower if the angle of elevation becomes 60° at point Y, find the height of the tower?Typemultiple_choiceOption26 mcorrectOption28 mincorrectOption29 mincorrectOption30 mincorrectSolution: ...

QuestionA man 1.5 meter tall is 30√3 meter away from a building. When he sees the top of building the angle of elevation is 30°. Find the height of the building?Typemultiple_choiceOption31.5mcorrectOption30 mincorrectOption53.4mincorrectOption48 mincorrectSolution: Let AD be the man and BE ...

QuestionA ladder is leaning against a wall. It makes a 60° angle with the wall. If the distance between foot of ladder and wall is 5.5 meters, find the length of the ladder.Typemultiple_choiceOption9.5mincorrectOption10mincorrectOption10.5mincorrectOption11mcorrectSolution Let BC be the ...

QuestionTwo ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse observed from the ships are 30° and 45° respectively. If the lighthouse is 100m high, find the distance between the two ships.Typemultiple_choiceOption155.80 ...

QuestionThe speed of a boat in still water is 5km/hr. If the speed of the boat against the stream is 3 km/hr, what is the speed of the stream?Typemultiple_choiceOption1.5 km/hrincorrectOption2 km/hrcorrectOption2.5 km/hrincorrectOption1 km/hrincorrectSolutionLet the speed of stream = X km/hr Speed ...

QuestionA motorboat travels 16 km in 2 hours against the flow of river and travels next 8 km along the flow of the river in 20 minutes. How long will it take motorboat to travel 48 km in still water?Typemultiple_choiceOption2.5 hoursincorrectOption3 hourscorrectOption3.5 hoursincorrectOption4 ...

QuestionA man can swim in still water at 8 km/hr. If the river is flowing at 2km/hr he takes 80 minutes to reach a place and return back, how far is the place?Typemultiple_choiceOption4 kmincorrectOption3 kmincorrectOption4.5 kmincorrectOption5 kmcorrectSolution : Let the place is X km far. ...

QuestionA boat takes 6 hours to move downstream from point P to Q and to return to point P moving upstream. If the speed of the stream is 4 km/hr and speed of the boat in still water is 6 km/hr, what is the distance between point P and Q?Typemultiple_choiceOption8 kmincorrectOption9 ...

QuestionA man can row at 12 km/hr in still water. He finds that he takes twice as much time to row upstream than to row downstream when he covers a certain distance. Find the speed of the stream.Typemultiple_choiceOption4 km/hrcorrectOption3 km/hrincorrectOption4.5 km/hrincorrectOption3.5 ...

QuestionA man swimming in a river which is flowing at 3 1/2 km/ hr finds that in a given time he can swim twice as far downstream as he can swim upstream. What will be his speed in still water?Typemultiple_choiceOption9.5 km/hrincorrectOption10 lm/hrincorrectOption10.5 km/hrcorrectOption11 ...